Let Y be a normal random variables, with mean 3

  1. Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0
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  2. Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0
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  3. Let X and Y be independent normal random variables.a) Is 2X−4 always normal? b) Is 3X−4Y always normal? c) Is X^2+Y always
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  4. Let X and Y be normal random variables with means 0 and 2, respectively, and variances 1 and 9, respectively. Find the
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  5. Let X and Y be normal random variables with means 0 and 2, respectively, and variances 1 and 9, respectively. Find the
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  6. Let X and Y be normal random variables with means 0 and 2, respectively, and variances 1 and 9, respectively. Find the
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  7. Let X and Y be normal random variables with means 0 and 2, respectively, and variances 1 and 9, respectively. Find the
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  8. Let X and Y be two normal random variables, with means 0 and 3 , respectively, and variances 1 and 16 , respectively. Find the
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  9. Let X and Y be two normal random variables, with means 0 and 3, respectively, and variances 1 and 16, respectively. Find the
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  10. Let X1 , X2 , X3 be i.i.d. Binomial random variables with parameters n=2 and p=1/2 . Define two new random variablesY1 =X1−X3,
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